If we are solving a 0-1 integer programming problem, the constraint x1 + x2 + x3 ≤ 3 is a mutually exclusive constraint.

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A mutually exclusive constraint typically requires that out of a set of variables, only one can take the value 1 (or be "chosen") at a time, implying a constraint of the form x1 + x2 + x3 ≤ 1. The given constraint x1 + x2 + x3 ≤ 3 allows for the possibility of more than one variable being 1 simultaneously, as long as their sum does not exceed 3.

If We Are Solving a 0-1 Integer Programming Problem, the Constraint